Finding the Third Proportional to 42,900 and 65,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,900 : 65,626.50 = 65,626.50 : x
2. Step 2: Convert to fraction form
   42,900/65,626.50 = 65,626.50/x
3. Step 3: Cross multiply
   42,900x = 65,626.50 × 65,626.50
4. Step 4: Simplify right side
   42,900x = 4,306,837,502.25
5. Step 5: Solve for x
   x = 4,306,837,502.25/42,900
6. Step 6: Final answer
   x = 100,392.48